Ramsay is being tracked by Leeds United.
The Sun says an offer of £3.5m has been tabled for a player they claim Leeds watched in action last week.
However, they also report that Leeds were not the only English club monitoring Ramsay and that Manchester United, Tottenham Hotspur, Leicester City and Southampton watched him last week.
Premier League strugglers Watford are named as long-term admirers of the 18-year-old, who represents Scotland at under-21 level.
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